24 citations · 26 across the 6 of their papers we have counts for
7 papers
Source-Induced Reflection in Balanced Shallow-Water Networks
Binan Gu, Cameron Norton, Andre Nachbin
Width-balance conditions at a junction are often associated with reflectionless transmission, or transparency, in some one-dimensional wave models on networks. We show that, on cyc…
Pilot-Wave Dynamics: Using Dynamic Mode Decomposition to characterize Bifurcations, Routes to Chaos and Emergent Statistics
J. Nathan Kutz, Andre Nachbin, Peter J. Baddoo +1
We develop a data-driven characterization of the pilot-wave hydrodynamic system in which a bouncing droplet self-propels along the surface of a vibrating bath. We consider drop mot…
A platform for investigating Bell correlations in pilot-wave hydrodynamics
Konstantinos Papatryfonos, Louis Vervoort, André Nachbin +2
Since its discovery in 2005, the hydrodynamic pilot-wave system has provided a concrete macroscopic realization of wave-particle duality and concomitant classical analogs of a grow…
Hydrodynamic superradiance in wave-mediated cooperative tunneling
Konstantinos Papatryfonos, Mélanie Ruelle, Corentin Bourdiol +3
Superradiance and subradiance occur in quantum optics when the emission rate of photons from multiple atoms is enhanced and diminished, respectively, owing to interaction between n…
Spontaneous critical layer formation and robustness beneath rotational waves
M. V. Flamarion, A. Nachbin, R. Ribeiro-Junior
Non-stationary rotational surface waves are considered, where the underlying current has constant vorticity. A study is presented on the robustness of a critical layer in the prese…
Singular integration towards a spectrally accurate finite difference operator
Andre Nachbin
It is an established fact that a finite difference operator approximates a derivative with a fixed algebraic rate of convergence. Nevertheless, we exhibit a new finite difference o…
Explosive ripple instability due to incipient wave breaking
Alexei A. Mailybaev, Andre Nachbin
Considering two-dimensional potential ideal flow with free surface and finite depth, we study the dynamics of small-amplitude and short-wavelength wavetrains propagating on the bac…